<!DOCTYPE html><html><head><meta charset="utf-8"><meta name="viewport" content="width=device-width,initial-scale=1"><title>预测学生成绩</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script><style type="text/css">pre{line-height:125%}td.linenos .normal{color:inherit;background-color:transparent;padding-left:5px;padding-right:5px}span.linenos{color:inherit;background-color:transparent;padding-left:5px;padding-right:5px}td.linenos .special{color:#000;background-color:#ffffc0;padding-left:5px;padding-right:5px}span.linenos.special{color:#000;background-color:#ffffc0;padding-left:5px;padding-right:5px}.highlight .hll{background-color:var(--jp-cell-editor-active-background)}.highlight{background:var(--jp-cell-editor-background);color:var(--jp-mirror-editor-variable-color)}.highlight .c{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .err{color:var(--jp-mirror-editor-error-color)}.highlight 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<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">seaborn</span> <span class="k">as</span> <span class="nn">sns</span>
<span class="kn">from</span> <span class="nn">sklearn.linear_model</span> <span class="kn">import</span> <span class="n">LinearRegression</span>
<span class="kn">from</span> <span class="nn">sklearn.model_selection</span> <span class="kn">import</span> <span class="n">train_test_split</span>
<span class="kn">from</span> <span class="nn">sklearn.linear_model</span> <span class="kn">import</span> <span class="n">ElasticNet</span>
<span class="kn">from</span> <span class="nn">sklearn.ensemble</span> <span class="kn">import</span> <span class="n">RandomForestRegressor</span>
<span class="kn">from</span> <span class="nn">sklearn.ensemble</span> <span class="kn">import</span> <span class="n">ExtraTreesRegressor</span>
<span class="kn">from</span> <span class="nn">sklearn.ensemble</span> <span class="kn">import</span> <span class="n">GradientBoostingRegressor</span>
<span class="kn">from</span> <span class="nn">sklearn.svm</span> <span class="kn">import</span> <span class="n">SVR</span>
<span class="kn">import</span> <span class="nn">pickle</span>
</pre></div></div></div></div></div></div><div id="cell-id=8b95aa73-8156-4922-9470-c4f44fcc12b2" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h2 id="%E8%AF%BB%E5%8F%96%E6%95%B0%E6%8D%AE">&#35835;&#21462;&#25968;&#25454;<a class="anchor-link" href="#%E8%AF%BB%E5%8F%96%E6%95%B0%E6%8D%AE">&#182;</a></h2></div></div></div></div><div id="cell-id=9281985f-12bc-4185-b5ba-baf7e8fb9b10" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%88%A9%E7%94%A8pandas%E7%9A%84%E5%BA%93%E8%AF%BB%E5%8F%96csv%E6%95%B0%E6%8D%AE">&#21033;&#29992;pandas&#30340;&#24211;&#35835;&#21462;csv&#25968;&#25454;<a class="anchor-link" href="#%E5%88%A9%E7%94%A8pandas%E7%9A%84%E5%BA%93%E8%AF%BB%E5%8F%96csv%E6%95%B0%E6%8D%AE">&#182;</a></h3></div></div></div></div><div id="cell-id=9a23b005-67c0-4656-9faa-a323805c2027" class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[2]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">student</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_csv</span><span class="p">(</span><span class="s1">&#39;student-mat.csv&#39;</span><span class="p">)</span>
</pre></div></div></div></div></div></div><div id="cell-id=6368e270-7893-4701-a19f-25e9b0e63fa1" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E9%A2%84%E8%A7%88%E8%AF%BB%E5%8F%96%E7%9A%84%E6%95%B0%E6%8D%AE">&#39044;&#35272;&#35835;&#21462;&#30340;&#25968;&#25454;<a class="anchor-link" href="#%E9%A2%84%E8%A7%88%E8%AF%BB%E5%8F%96%E7%9A%84%E6%95%B0%E6%8D%AE">&#182;</a></h3></div></div></div></div><div id="cell-id=f19f0f5e-b626-4c4c-a022-fb4f43d534e6" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[3]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">student</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[3]:</div><div class="jp-RenderedHTMLCommon jp-RenderedHTML jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/html"><div><style scoped>.dataframe tbody tr th:only-of-type{vertical-align:middle}.dataframe tbody tr th{vertical-align:top}.dataframe thead th{text-align:right}</style><table border="1" class="dataframe"><thead><tr style="text-align:right"><th></th><th>school</th><th>sex</th><th>age</th><th>address</th><th>famsize</th><th>Pstatus</th><th>Medu</th><th>Fedu</th><th>Mjob</th><th>Fjob</th><th>...</th><th>famrel</th><th>freetime</th><th>goout</th><th>Dalc</th><th>Walc</th><th>health</th><th>absences</th><th>G1</th><th>G2</th><th>G3</th></tr></thead><tbody><tr><th>0</th><td>GP</td><td>F</td><td>18</td><td>U</td><td>GT3</td><td>A</td><td>4</td><td>4</td><td>at_home</td><td>teacher</td><td>...</td><td>4</td><td>3</td><td>4</td><td>1</td><td>1</td><td>3</td><td>6</td><td>5</td><td>6</td><td>6</td></tr><tr><th>1</th><td>GP</td><td>F</td><td>17</td><td>U</td><td>GT3</td><td>T</td><td>1</td><td>1</td><td>at_home</td><td>other</td><td>...</td><td>5</td><td>3</td><td>3</td><td>1</td><td>1</td><td>3</td><td>4</td><td>5</td><td>5</td><td>6</td></tr><tr><th>2</th><td>GP</td><td>F</td><td>15</td><td>U</td><td>LE3</td><td>T</td><td>1</td><td>1</td><td>at_home</td><td>other</td><td>...</td><td>4</td><td>3</td><td>2</td><td>2</td><td>3</td><td>3</td><td>10</td><td>7</td><td>8</td><td>10</td></tr><tr><th>3</th><td>GP</td><td>F</td><td>15</td><td>U</td><td>GT3</td><td>T</td><td>4</td><td>2</td><td>health</td><td>services</td><td>...</td><td>3</td><td>2</td><td>2</td><td>1</td><td>1</td><td>5</td><td>2</td><td>15</td><td>14</td><td>15</td></tr><tr><th>4</th><td>GP</td><td>F</td><td>16</td><td>U</td><td>GT3</td><td>T</td><td>3</td><td>3</td><td>other</td><td>other</td><td>...</td><td>4</td><td>3</td><td>2</td><td>1</td><td>2</td><td>5</td><td>4</td><td>6</td><td>10</td><td>10</td></tr><tr><th>...</th><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr><tr><th>390</th><td>MS</td><td>M</td><td>20</td><td>U</td><td>LE3</td><td>A</td><td>2</td><td>2</td><td>services</td><td>services</td><td>...</td><td>5</td><td>5</td><td>4</td><td>4</td><td>5</td><td>4</td><td>11</td><td>9</td><td>9</td><td>9</td></tr><tr><th>391</th><td>MS</td><td>M</td><td>17</td><td>U</td><td>LE3</td><td>T</td><td>3</td><td>1</td><td>services</td><td>services</td><td>...</td><td>2</td><td>4</td><td>5</td><td>3</td><td>4</td><td>2</td><td>3</td><td>14</td><td>16</td><td>16</td></tr><tr><th>392</th><td>MS</td><td>M</td><td>21</td><td>R</td><td>GT3</td><td>T</td><td>1</td><td>1</td><td>other</td><td>other</td><td>...</td><td>5</td><td>5</td><td>3</td><td>3</td><td>3</td><td>3</td><td>3</td><td>10</td><td>8</td><td>7</td></tr><tr><th>393</th><td>MS</td><td>M</td><td>18</td><td>R</td><td>LE3</td><td>T</td><td>3</td><td>2</td><td>services</td><td>other</td><td>...</td><td>4</td><td>4</td><td>1</td><td>3</td><td>4</td><td>5</td><td>0</td><td>11</td><td>12</td><td>10</td></tr><tr><th>394</th><td>MS</td><td>M</td><td>19</td><td>U</td><td>LE3</td><td>T</td><td>1</td><td>1</td><td>other</td><td>at_home</td><td>...</td><td>3</td><td>2</td><td>3</td><td>3</td><td>3</td><td>5</td><td>5</td><td>8</td><td>9</td><td>9</td></tr></tbody></table><p>395 rows × 33 columns</p></div></div></div></div></div></div><div id="cell-id=5d8f3395-61da-4770-9f55-778a58e713e0" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h2 id="%E4%BD%BF%E7%94%A8%E5%9B%BE%E8%A1%A8%E5%88%86%E6%9E%90%E5%B1%9E%E6%80%A7">&#20351;&#29992;&#22270;&#34920;&#20998;&#26512;&#23646;&#24615;<a class="anchor-link" href="#%E4%BD%BF%E7%94%A8%E5%9B%BE%E8%A1%A8%E5%88%86%E6%9E%90%E5%B1%9E%E6%80%A7">&#182;</a></h2></div></div></div></div><div id="cell-id=db454cea-9bcd-458a-b385-af4003be5875" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>进行回归分析时，我们要大概了解每个特征对结果的影响，故我们对各个特征值分别进行分析</p><p>但我们不使用两次测验的成绩预测最终成绩，显然以前成绩好的以后考试分数高的概率大，我们希望得到 更有意义的结果</p></div></div></div></div><div id="cell-id=121c0d5c-4b47-4a6f-8932-1f80977302e5" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%AF%B9%E5%AD%A6%E7%94%9F%E7%9A%84%E6%9C%80%E7%BB%88%E5%BE%97%E5%88%86%E6%83%85%E5%86%B5%E6%8C%89%E5%87%BA%E7%8E%B0%E6%AC%A1%E6%95%B0%E8%BF%9B%E8%A1%8C%E6%B1%87%E6%80%BB%E6%8E%92%E5%BA%8F">&#23545;&#23398;&#29983;&#30340;&#26368;&#32456;&#24471;&#20998;&#24773;&#20917;&#25353;&#20986;&#29616;&#27425;&#25968;&#36827;&#34892;&#27719;&#24635;&#25490;&#24207;<a class="anchor-link" href="#%E5%AF%B9%E5%AD%A6%E7%94%9F%E7%9A%84%E6%9C%80%E7%BB%88%E5%BE%97%E5%88%86%E6%83%85%E5%86%B5%E6%8C%89%E5%87%BA%E7%8E%B0%E6%AC%A1%E6%95%B0%E8%BF%9B%E8%A1%8C%E6%B1%87%E6%80%BB%E6%8E%92%E5%BA%8F">&#182;</a></h3></div></div></div></div><div id="cell-id=211ceff5-8292-4ef5-affb-98b102c40b38" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[4]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">grade_counts</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="s1">&#39;G3&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">value_counts</span><span class="p">()</span><span class="o">.</span><span class="n">sort_values</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="o">.</span><span class="n">barh</span><span class="p">(</span><span class="n">width</span><span class="o">=</span><span class="mf">0.8</span><span class="p">)</span>
<span class="n">grade_counts</span><span class="o">.</span><span class="n">axes</span><span class="o">.</span><span class="n">set_title</span><span class="p">(</span><span class="s2">&quot;distribution of score&quot;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="n">grade_counts</span><span class="o">.</span><span class="n">set_xlabel</span><span class="p">(</span><span class="s2">&quot;number of student&quot;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">14</span><span class="p">)</span>
<span class="n">grade_counts</span><span class="o">.</span><span class="n">set_ylabel</span><span class="p">(</span><span class="s2">&quot;final score&quot;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">14</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[4]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>Text(0, 0.5, &#39;final score&#39;)</pre></div></div><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=504426fb-8b16-473f-bbeb-1c96e89bbbaf" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%AD%A6%E7%94%9F%E6%88%90%E7%BB%A9%E5%88%86%E5%B8%83%E7%9B%B4%E6%96%B9%E5%9B%BE">&#23398;&#29983;&#25104;&#32489;&#20998;&#24067;&#30452;&#26041;&#22270;<a class="anchor-link" href="#%E5%AD%A6%E7%94%9F%E6%88%90%E7%BB%A9%E5%88%86%E5%B8%83%E7%9B%B4%E6%96%B9%E5%9B%BE">&#182;</a></h3></div></div></div></div><div id="cell-id=387957a6-b07f-42fe-8992-fbcdaf370496" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[5]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span><span class="o">.</span><span class="n">xaxis</span><span class="o">.</span><span class="n">set_major_locator</span><span class="p">(</span><span class="n">plt</span><span class="o">.</span><span class="n">MultipleLocator</span><span class="p">(</span><span class="mi">1</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">],</span> <span class="n">bins</span><span class="o">=</span><span class="mi">50</span><span class="p">,</span> <span class="n">edgecolor</span><span class="o">=</span><span class="s2">&quot;black&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;score&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;number&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=4b50b189-fd2c-4429-9047-f16ef3851182" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>一旦去掉0分，可以认为和正态分布有较高的相似度</p><p>加上0分的，整张图完全不符合正态分布，且得分为1,2,3的人直接断层，严重怀疑0分不是单纯的考试成绩</p></div></div></div></div><div id="cell-id=7c9f74bf-5f81-4f38-b985-4c6edb7f6b1e" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%88%86%E6%9E%90%E5%B9%B4%E9%BE%84%E7%9A%84%E5%BD%B1%E5%93%8D">&#20998;&#26512;&#24180;&#40836;&#30340;&#24433;&#21709;<a class="anchor-link" href="#%E5%88%86%E6%9E%90%E5%B9%B4%E9%BE%84%E7%9A%84%E5%BD%B1%E5%93%8D">&#182;</a></h3></div></div></div></div><div id="cell-id=04ea8655-6f8f-4295-961e-33cd2351b5c2" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[6]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;age&quot;</span><span class="p">],</span> <span class="n">bins</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;age&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;number&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=9b0ac730-671f-442a-8238-95ab81530dca" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>可以得出年龄集中在15～19,但是很难再得到什么有价值的信息</p></div></div></div></div><div id="cell-id=3ea6ed64-2fba-4ed0-bfd7-3bb1be8bd110" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%B0%9D%E8%AF%95%E5%B0%86%E6%80%A7%E5%88%AB%E5%92%8C%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E4%B8%80%E8%B5%B7%E5%88%86%E6%9E%90">&#23581;&#35797;&#23558;&#24615;&#21035;&#21644;&#26368;&#32456;&#25104;&#32489;&#19968;&#36215;&#20998;&#26512;<a class="anchor-link" href="#%E5%B0%9D%E8%AF%95%E5%B0%86%E6%80%A7%E5%88%AB%E5%92%8C%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E4%B8%80%E8%B5%B7%E5%88%86%E6%9E%90">&#182;</a></h3></div></div></div></div><div id="cell-id=3c21509e-1a7e-476e-9ccd-9a70708ddae0" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[7]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">female</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;sex&quot;</span><span class="p">]</span> <span class="o">==</span> <span class="s2">&quot;F&quot;</span><span class="p">][</span><span class="s2">&quot;G3&quot;</span><span class="p">]</span>
<span class="n">male</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;sex&quot;</span><span class="p">]</span> <span class="o">==</span> <span class="s2">&quot;M&quot;</span><span class="p">][</span><span class="s2">&quot;G3&quot;</span><span class="p">]</span>
<span class="n">error</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">female</span> <span class="o">-</span> <span class="n">male</span><span class="p">)</span>
<span class="n">labels</span> <span class="o">=</span> <span class="p">[</span><span class="s2">&quot;female&quot;</span><span class="p">,</span> <span class="s2">&quot;male&quot;</span><span class="p">]</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">([</span><span class="n">female</span><span class="p">,</span> <span class="n">male</span><span class="p">],</span> <span class="n">bins</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">labels</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;score&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;number&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">()</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=1bae55d2-95da-47c4-850d-9554a50aef73" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>这进一步证实性别和年龄没什么大关系</p></div></div></div></div><div id="cell-id=ecd03ea9-a75f-4c5c-bae5-f679fc909610" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%B0%86%E5%B9%B4%E9%BE%84%E5%92%8C%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E4%B8%80%E8%B5%B7%E5%88%86%E6%9E%90">&#23558;&#24180;&#40836;&#21644;&#26368;&#32456;&#25104;&#32489;&#19968;&#36215;&#20998;&#26512;<a class="anchor-link" href="#%E5%B0%86%E5%B9%B4%E9%BE%84%E5%92%8C%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E4%B8%80%E8%B5%B7%E5%88%86%E6%9E%90">&#182;</a></h3></div></div></div></div><div id="cell-id=6b7610bf-af3d-4ae8-9b2c-839b0bb6c6d2" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[8]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">sns</span><span class="o">.</span><span class="n">boxplot</span><span class="p">(</span><span class="n">student</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="s2">&quot;age&quot;</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="s2">&quot;G3&quot;</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[8]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>&lt;Axes: xlabel=&#39;age&#39;, ylabel=&#39;G3&#39;&gt;</pre></div></div><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=481bb889-cad3-45d4-bf41-84d403429c4d" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>可以看出，除了20岁的人（人少的可怜）的分数确实高于其他年龄段的，年龄对成绩的平均数可以说没有什么影响，但是确实有缓慢下降的趋势 ，毕竟年龄提升后课程难度也会加大。</p></div></div></div></div><div id="cell-id=bdc54b98-9b7d-4135-ab98-9b6be0821d9f" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%B1%85%E4%BD%8F%E5%9C%B0%E5%AF%B9%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D%E5%88%86%E6%9E%90">&#23621;&#20303;&#22320;&#23545;&#25104;&#32489;&#30340;&#24433;&#21709;&#20998;&#26512;<a class="anchor-link" href="#%E5%B1%85%E4%BD%8F%E5%9C%B0%E5%AF%B9%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D%E5%88%86%E6%9E%90">&#182;</a></h3></div></div></div></div><div id="cell-id=bfa40a0f-26c2-491a-9eb8-2601c4c6cd32" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[9]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">x1</span> <span class="o">=</span> <span class="n">student</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;address&quot;</span><span class="p">]</span> <span class="o">==</span> <span class="s2">&quot;U&quot;</span><span class="p">,</span> <span class="s2">&quot;G3&quot;</span><span class="p">]</span> <span class="c1">#城市</span>
<span class="n">x2</span> <span class="o">=</span> <span class="n">student</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;address&quot;</span><span class="p">]</span> <span class="o">==</span> <span class="s2">&quot;R&quot;</span><span class="p">,</span> <span class="s2">&quot;G3&quot;</span><span class="p">]</span> <span class="c1">#农村</span>
<span class="n">sns</span><span class="o">.</span><span class="n">kdeplot</span><span class="p">(</span><span class="n">x1</span><span class="p">)</span>
<span class="n">sns</span><span class="o">.</span><span class="n">kdeplot</span><span class="p">(</span><span class="n">x2</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">([</span><span class="s2">&quot;urban&quot;</span><span class="p">,</span> <span class="s2">&quot;rural&quot;</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;final score&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;rate&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=41b03d73-63ba-4a23-aa53-a9f41c6677a7" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>看的出来，几乎没有影响</p></div></div></div></div><div id="cell-id=d548e772-1216-4310-b39a-9a44cfc368df" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h2 id="%E7%9B%B8%E5%85%B3%E5%BA%A6%E7%9A%84%E8%AE%A1%E7%AE%97">&#30456;&#20851;&#24230;&#30340;&#35745;&#31639;<a class="anchor-link" href="#%E7%9B%B8%E5%85%B3%E5%BA%A6%E7%9A%84%E8%AE%A1%E7%AE%97">&#182;</a></h2></div></div></div></div><div id="cell-id=523dd8d7-dcc2-4a0a-9881-aaf222e2fa67" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E4%BD%BF%E7%94%A8%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%B7%E8%B7%9D%E7%A6%BB%E8%AE%A1%E7%AE%97%E7%9B%B8%E5%85%B3%E6%80%A7">&#20351;&#29992;&#27431;&#20960;&#37324;&#24503;&#36317;&#31163;&#35745;&#31639;&#30456;&#20851;&#24615;<a class="anchor-link" href="#%E4%BD%BF%E7%94%A8%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%B7%E8%B7%9D%E7%A6%BB%E8%AE%A1%E7%AE%97%E7%9B%B8%E5%85%B3%E6%80%A7">&#182;</a></h3></div></div></div></div><div id="cell-id=bef5d288-eace-4fcc-9dd1-fd75cd3f5ff7" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>我已经逐个分析了性别和年龄的影响，接下来我将对相关型进行计算</p><p>其实导入的包里面就有这个函数，但是为了更好的理解原理，我决定手写一下</p></div></div></div></div><div id="cell-id=49e336ce-4024-42f4-b87d-24d629fe4fc5" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[10]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">EuclideanDistance</span><span class="p">(</span><span class="n">feature1</span><span class="p">,</span> <span class="n">feature2</span><span class="p">):</span>
    <span class="c1">#特征缩放</span>
    <span class="n">feature1</span> <span class="o">=</span> <span class="n">feature1</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">float32</span><span class="p">)</span>
    <span class="n">feature2</span> <span class="o">=</span> <span class="n">feature2</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">float32</span><span class="p">)</span>
    <span class="n">feature1_mean</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">feature1</span><span class="p">)</span>
    <span class="n">feature2_mean</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">feature2</span><span class="p">)</span>
    <span class="n">feature1</span> <span class="o">-=</span> <span class="n">feature1_mean</span>
    <span class="n">feature2</span> <span class="o">-=</span> <span class="n">feature2_mean</span>

    <span class="c1">#计算平方和</span>
    <span class="n">square</span> <span class="o">=</span> <span class="p">(</span><span class="n">feature1</span> <span class="o">-</span> <span class="n">feature2</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span>
    <span class="n">sum_square</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">square</span><span class="p">)</span>

    <span class="c1">#计算相关性</span>
    <span class="n">result</span> <span class="o">=</span> <span class="mi">1</span><span class="o">/</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">sum_square</span><span class="p">))</span> <span class="o">*</span><span class="mi">10</span>

    <span class="k">return</span> <span class="n">result</span>

<span class="n">number</span> <span class="o">=</span> <span class="nb">list</span><span class="p">()</span>

<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;failures&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;age&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;goout&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;traveltime&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;health&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;Dalc&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;Walc&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;freetime&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;absences&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;famrel&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;studytime&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;Fedu&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;Medu&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;goout&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="n">number</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">EuclideanDistance</span><span class="p">(</span><span class="n">student</span><span class="p">[</span><span class="s2">&quot;famrel&quot;</span><span class="p">],</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">argsort</span><span class="p">(</span><span class="n">number</span><span class="p">)[::</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedText jp-OutputArea-output" data-mime-type="text/plain"><pre>[12 11 10 14  9  7  3  5  6 13  2  4  0  1  8]
</pre></div></div></div></div></div><div id="cell-id=e61fdaee-b2c7-452a-b8b1-5bd39652f91c" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>除了不是用数值表示的特征，我都用欧几里德距离进行了计算，排序得出Medu,Fedu,studytime,famrel对最终成绩影响最大,</p></div></div></div></div><div id="cell-id=d442de48-ea2f-4989-9aa5-19b6d96f0f27" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E7%9A%AE%E5%B0%94%E9%80%8A%E7%9B%B8%E5%85%B3%E5%BA%A6">&#30382;&#23572;&#36874;&#30456;&#20851;&#24230;<a class="anchor-link" href="#%E7%9A%AE%E5%B0%94%E9%80%8A%E7%9B%B8%E5%85%B3%E5%BA%A6">&#182;</a></h3></div></div></div></div><div id="cell-id=f7c8b56b-5ca8-4dff-8a50-0f7bb8581122" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[11]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">student</span><span class="o">.</span><span class="n">corr</span><span class="p">(</span><span class="n">method</span><span class="o">=</span><span class="s2">&quot;pearson&quot;</span><span class="p">,</span> <span class="n">numeric_only</span><span class="o">=</span><span class="kc">True</span><span class="p">)[</span><span class="s2">&quot;G3&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">sort_values</span><span class="p">()[::</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[11]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>G3            1.000000
G2            0.904868
G1            0.801468
Medu          0.217147
Fedu          0.152457
studytime     0.097820
famrel        0.051363
absences      0.034247
freetime      0.011307
Walc         -0.051939
Dalc         -0.054660
health       -0.061335
traveltime   -0.117142
goout        -0.132791
age          -0.161579
failures     -0.360415
Name: G3, dtype: float64</pre></div></div></div></div></div><div id="cell-id=07bedd70-7f76-4a69-908a-c4d3c9323e99" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>可以看出皮尔逊相关度和我上面写的欧几里德距离评价得到的结果差不多，都是Medu,Fedu,studytime,famrel相关度最大 （G2,G3)不作考虑</p></div></div></div></div><div id="cell-id=9e1d88d8-b66c-42a9-9ce8-f52fd6ba7bd5" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[12]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">sns</span><span class="o">.</span><span class="n">boxplot</span><span class="p">(</span><span class="n">student</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="s2">&quot;Medu&quot;</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="s2">&quot;G3&quot;</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[12]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>&lt;Axes: xlabel=&#39;Medu&#39;, ylabel=&#39;G3&#39;&gt;</pre></div></div><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=d9fcff4d-3791-4cd3-a9a2-93e47312fd13" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[13]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">x</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;Medu&quot;</span><span class="p">][</span><span class="mi">0</span><span class="p">:</span><span class="mi">300</span><span class="p">]</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">][</span><span class="mi">0</span><span class="p">:</span><span class="mi">300</span><span class="p">]</span>
<span class="n">sns</span><span class="o">.</span><span class="n">swarmplot</span><span class="p">(</span><span class="n">x</span><span class="o">=</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="n">y</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[13]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>&lt;Axes: xlabel=&#39;Medu&#39;, ylabel=&#39;G3&#39;&gt;</pre></div></div><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=c95aa9fa-8f3f-4c43-a07b-79099fa85903" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>从上面两张箱线图可以看出，派出Medu=0的极少数情况，随着Medu的增加，学生的得分区间也在逐渐增加，猜想正确</p><p>但是我们还需要处理非数值数据</p></div></div></div></div><div id="cell-id=9770008c-7b07-49fe-a01c-3551ccba252b" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E7%8B%AC%E7%83%AD%E7%BC%96%E7%A0%81">&#29420;&#28909;&#32534;&#30721;<a class="anchor-link" href="#%E7%8B%AC%E7%83%AD%E7%BC%96%E7%A0%81">&#182;</a></h3></div></div></div></div><div id="cell-id=36326e68-2e57-4c50-a956-24338d53e563" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>要处理非数值的数据，独热编码是一个不错的方法</p></div></div></div></div><div id="cell-id=21a55203-405b-4387-b769-fb18e22cbae0" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[14]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">student</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_csv</span><span class="p">(</span><span class="s2">&quot;student-mat.csv&quot;</span><span class="p">)</span>
<span class="n">features</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;G3&quot;</span><span class="p">]</span>
<span class="n">student</span> <span class="o">=</span> <span class="n">student</span><span class="o">.</span><span class="n">drop</span><span class="p">([</span><span class="s2">&quot;G1&quot;</span><span class="p">,</span> <span class="s2">&quot;G2&quot;</span><span class="p">],</span> <span class="n">axis</span><span class="o">=</span><span class="s2">&quot;columns&quot;</span><span class="p">)</span>
<span class="n">student</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">get_dummies</span><span class="p">(</span><span class="n">student</span><span class="p">)</span>
<span class="n">most_correlated</span> <span class="o">=</span> <span class="n">student</span><span class="o">.</span><span class="n">corr</span><span class="p">()[</span><span class="s2">&quot;G3&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">abs</span><span class="p">()</span><span class="o">.</span><span class="n">sort_values</span><span class="p">(</span><span class="n">ascending</span><span class="o">=</span><span class="kc">False</span><span class="p">)[:</span><span class="mi">8</span><span class="p">]</span>
<span class="n">most_correlated</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[14]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>G3            1.000000
failures      0.360415
Medu          0.217147
higher_yes    0.182465
higher_no     0.182465
age           0.161579
Fedu          0.152457
goout         0.132791
Name: G3, dtype: float64</pre></div></div></div></div></div><div id="cell-id=f77dc138-99de-45e8-891d-0cdafa124d80" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>在使用独热编码后，计算其相关度，并取出相关度最大的8个,出去G3本身，分别为failures,Medu,higher_yes,higher_no,age,Fedu,goout</p><p>现在进行验证</p></div></div></div></div><div id="cell-id=8920f506-1481-4de8-a002-1fbecd4e0c58" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%A4%B1%E8%B4%A5%E6%AC%A1%E6%95%B0%E5%AF%B9%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D">&#22833;&#36133;&#27425;&#25968;&#23545;&#26368;&#32456;&#25104;&#32489;&#30340;&#24433;&#21709;<a class="anchor-link" href="#%E5%A4%B1%E8%B4%A5%E6%AC%A1%E6%95%B0%E5%AF%B9%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D">&#182;</a></h3></div></div></div></div><div id="cell-id=46981e8b-c92f-44e0-8d55-1e15da723c01" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[15]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">failures_boxenplot</span> <span class="o">=</span> <span class="n">sns</span><span class="o">.</span><span class="n">boxenplot</span><span class="p">(</span><span class="n">student</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="s2">&quot;failures&quot;</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="s2">&quot;G3&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s2">&quot;number of failures&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s2">&quot;final score&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s2">&quot;How the number of failures affects the final score&quot;</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=37f93e03-4ee0-42c8-a7ab-6708c6824474" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>由此可见，分数随着失败次数的增加而减少</p></div></div></div></div><div id="cell-id=bae10715-6aad-471f-b2bb-7767dc130806" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%8F%8C%E4%BA%B2%E5%8F%97%E6%95%99%E8%82%B2%E7%A8%8B%E5%BA%A6%E5%AF%B9%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D">&#21452;&#20146;&#21463;&#25945;&#32946;&#31243;&#24230;&#23545;&#26368;&#32456;&#25104;&#32489;&#30340;&#24433;&#21709;<a class="anchor-link" href="#%E5%8F%8C%E4%BA%B2%E5%8F%97%E6%95%99%E8%82%B2%E7%A8%8B%E5%BA%A6%E5%AF%B9%E6%9C%80%E7%BB%88%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D">&#182;</a></h3></div></div></div></div><div id="cell-id=d81a3eca-2c81-4319-93de-7b741fd27fd0" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[16]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">parent_ed</span> <span class="o">=</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;Fedu&quot;</span><span class="p">]</span> <span class="o">+</span> <span class="n">student</span><span class="p">[</span><span class="s2">&quot;Medu&quot;</span><span class="p">]</span>
<span class="n">sns</span><span class="o">.</span><span class="n">boxenplot</span><span class="p">(</span><span class="n">student</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="n">parent_ed</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="s2">&quot;G3&quot;</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[16]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>&lt;Axes: ylabel=&#39;G3&#39;&gt;</pre></div></div><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=abf12be3-b997-4eea-a24a-03594eaba0d0" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>可以看出随着父母受教育程度上升，最终成绩的平均值在上升，得分区间也在升高</p></div></div></div></div><div id="cell-id=7e148eea-b6da-49c8-8570-7b6e6a087004" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%8D%87%E5%AD%A6%E6%84%8F%E6%84%BF%E5%AF%B9%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D">&#21319;&#23398;&#24847;&#24895;&#23545;&#25104;&#32489;&#30340;&#24433;&#21709;<a class="anchor-link" href="#%E5%8D%87%E5%AD%A6%E6%84%8F%E6%84%BF%E5%AF%B9%E6%88%90%E7%BB%A9%E7%9A%84%E5%BD%B1%E5%93%8D">&#182;</a></h3></div></div></div></div><div id="cell-id=149ef5b6-0891-4a8a-8497-c80ffc43c6de" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[17]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">sns</span><span class="o">.</span><span class="n">boxenplot</span><span class="p">(</span><span class="n">student</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="s2">&quot;higher_yes&quot;</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="s2">&quot;G3&quot;</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[17]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>&lt;Axes: xlabel=&#39;higher_yes&#39;, ylabel=&#39;G3&#39;&gt;</pre></div></div><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=4f345b4d-6659-4d09-8944-69c969e7b15d" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>显然有升学意愿的人成绩更高</p></div></div></div></div><div id="cell-id=c75f2171-5d56-4305-b427-6d7915cf2449" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h2 id="%E6%A8%A1%E5%9E%8B%E8%AE%AD%E7%BB%83">&#27169;&#22411;&#35757;&#32451;<a class="anchor-link" href="#%E6%A8%A1%E5%9E%8B%E8%AE%AD%E7%BB%83">&#182;</a></h2></div></div></div></div><div id="cell-id=a1fd765b-4daf-4da3-af62-591e3761edfe" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%9D%87%E6%96%B9%E6%A0%B9%E8%AF%AF%E5%B7%AE%EF%BC%8C%E5%B9%B3%E5%9D%87%E7%BB%9D%E5%AF%B9%E8%AF%AF%E5%B7%AE">&#22343;&#26041;&#26681;&#35823;&#24046;&#65292;&#24179;&#22343;&#32477;&#23545;&#35823;&#24046;<a class="anchor-link" href="#%E5%9D%87%E6%96%B9%E6%A0%B9%E8%AF%AF%E5%B7%AE%EF%BC%8C%E5%B9%B3%E5%9D%87%E7%BB%9D%E5%AF%B9%E8%AF%AF%E5%B7%AE">&#182;</a></h3></div></div></div></div><div id="cell-id=447c211b-3771-4f81-aad7-9138865ee384" class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[18]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">evaluate_predictions</span><span class="p">(</span><span class="n">y_hat</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span> 
    <span class="n">mae</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">y_hat</span> <span class="o">-</span> <span class="n">y</span><span class="p">))</span> 
    <span class="n">rmse</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">((</span><span class="n">y_hat</span> <span class="o">-</span> <span class="n">y</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span><span class="p">))</span> 
    <span class="k">return</span> <span class="n">mae</span><span class="p">,</span> <span class="n">rmse</span> 
</pre></div></div></div></div></div></div><div id="cell-id=f1b2cf26-2353-41b9-b2ae-269a16bd9a00" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E5%85%88%E5%8D%95%E7%8B%AC%E8%AE%A1%E7%AE%97%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E8%AF%AF%E5%B7%AE">&#20808;&#21333;&#29420;&#35745;&#31639;&#32447;&#24615;&#22238;&#24402;&#35823;&#24046;<a class="anchor-link" href="#%E5%85%88%E5%8D%95%E7%8B%AC%E8%AE%A1%E7%AE%97%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E8%AF%AF%E5%B7%AE">&#182;</a></h3></div></div></div></div><div id="cell-id=c970655d-f100-4d4c-a644-1c026b5e5c73" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[19]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">y</span> <span class="o">=</span> <span class="n">student</span><span class="o">.</span><span class="n">loc</span><span class="p">[:,</span> <span class="s2">&quot;G3&quot;</span><span class="p">]</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">student</span><span class="o">.</span><span class="n">drop</span><span class="p">(</span><span class="s2">&quot;G3&quot;</span><span class="p">,</span> <span class="n">axis</span><span class="o">=</span><span class="s2">&quot;columns&quot;</span><span class="p">)</span>
<span class="n">X_train</span><span class="p">,</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_train</span><span class="p">,</span> <span class="n">y_test</span> <span class="o">=</span> <span class="n">train_test_split</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">test_size</span><span class="o">=</span><span class="mf">0.2</span><span class="p">,</span> <span class="n">random_state</span><span class="o">=</span><span class="mi">123456</span><span class="p">)</span> <span class="c1">#固定种子</span>
<span class="n">model1</span> <span class="o">=</span> <span class="n">LinearRegression</span><span class="p">()</span>
<span class="n">model1</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">)</span>
<span class="n">y_hat</span> <span class="o">=</span> <span class="n">model1</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">X_test</span><span class="p">)</span>

<span class="c1">#误差计算</span>
<span class="n">mae</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">y_hat</span> <span class="o">-</span> <span class="n">y_test</span><span class="p">))</span>
<span class="n">rmse</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">((</span><span class="n">y_hat</span> <span class="o">-</span> <span class="n">y_test</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="n">mae</span><span class="p">,</span> <span class="n">rmse</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedText jp-OutputArea-output" data-mime-type="text/plain"><pre>3.5537271620352056 4.705178887709819
</pre></div></div></div></div></div><div id="cell-id=946a01b3-b417-4ff6-81fe-e6b04cb4520c" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[20]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="c1"># 通过训练集训练和测试集测试来生成多个线性模型</span>
<span class="k">def</span> <span class="nf">evaluate</span><span class="p">(</span><span class="n">X_train</span><span class="p">,</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_train</span><span class="p">,</span> <span class="n">y_test</span><span class="p">):</span>
    <span class="c1"># 模型名称</span>
    <span class="n">model_name_list</span> <span class="o">=</span> <span class="p">[</span><span class="s1">&#39;Linear Regression&#39;</span><span class="p">,</span> <span class="s1">&#39;ElasticNet Regression&#39;</span><span class="p">,</span>
                      <span class="s1">&#39;Random Forest&#39;</span><span class="p">,</span> <span class="s1">&#39;Extra Trees&#39;</span><span class="p">,</span> <span class="s1">&#39;SVM&#39;</span><span class="p">,</span>
                       <span class="s1">&#39;Gradient Boosted&#39;</span><span class="p">,</span> <span class="s1">&#39;Baseline&#39;</span><span class="p">]</span>
    <span class="c1"># 实例化模型</span>
    <span class="n">model1</span> <span class="o">=</span> <span class="n">LinearRegression</span><span class="p">()</span>
    <span class="n">model2</span> <span class="o">=</span> <span class="n">ElasticNet</span><span class="p">(</span><span class="n">alpha</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">l1_ratio</span><span class="o">=</span><span class="mf">0.5</span><span class="p">)</span>
    <span class="n">model3</span> <span class="o">=</span> <span class="n">RandomForestRegressor</span><span class="p">(</span><span class="n">n_estimators</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
    <span class="n">model4</span> <span class="o">=</span> <span class="n">ExtraTreesRegressor</span><span class="p">(</span><span class="n">n_estimators</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
    <span class="n">model5</span> <span class="o">=</span> <span class="n">SVR</span><span class="p">(</span><span class="n">kernel</span><span class="o">=</span><span class="s1">&#39;rbf&#39;</span><span class="p">,</span> <span class="n">degree</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">C</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">gamma</span><span class="o">=</span><span class="s1">&#39;auto&#39;</span><span class="p">)</span>
    <span class="n">model6</span> <span class="o">=</span> <span class="n">GradientBoostingRegressor</span><span class="p">(</span><span class="n">n_estimators</span><span class="o">=</span><span class="mi">50</span><span class="p">)</span>
    
    <span class="c1"># 结果数据框</span>
    <span class="n">results</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">columns</span><span class="o">=</span><span class="p">[</span><span class="s1">&#39;mae&#39;</span><span class="p">,</span> <span class="s1">&#39;rmse&#39;</span><span class="p">],</span> <span class="n">index</span> <span class="o">=</span> <span class="n">model_name_list</span><span class="p">)</span>
    
    <span class="c1"># 每种模型的训练和预测</span>
    <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">model</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">([</span><span class="n">model1</span><span class="p">,</span> <span class="n">model2</span><span class="p">,</span> <span class="n">model3</span><span class="p">,</span> <span class="n">model4</span><span class="p">,</span> <span class="n">model5</span><span class="p">,</span> <span class="n">model6</span><span class="p">]):</span>
        <span class="n">model</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">)</span>
        <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">X_test</span><span class="p">)</span>
        
        <span class="c1"># 误差标准</span>
        <span class="n">mae</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">predictions</span> <span class="o">-</span> <span class="n">y_test</span><span class="p">))</span>
        <span class="n">rmse</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">((</span><span class="n">predictions</span> <span class="o">-</span> <span class="n">y_test</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span><span class="p">))</span>
        
        <span class="c1"># 将结果插入结果框</span>
        <span class="n">model_name</span> <span class="o">=</span> <span class="n">model_name_list</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
        <span class="n">results</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="n">model_name</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="n">mae</span><span class="p">,</span> <span class="n">rmse</span><span class="p">]</span>
    
    <span class="c1"># 中值基准度量</span>
    <span class="n">baseline</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">median</span><span class="p">(</span><span class="n">y_train</span><span class="p">)</span>
    <span class="n">baseline_mae</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">baseline</span> <span class="o">-</span> <span class="n">y_test</span><span class="p">))</span>
    <span class="n">baseline_rmse</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">((</span><span class="n">baseline</span> <span class="o">-</span> <span class="n">y_test</span><span class="p">)</span> <span class="o">**</span> <span class="mi">2</span><span class="p">))</span>
    
    <span class="n">results</span><span class="o">.</span><span class="n">loc</span><span class="p">[</span><span class="s1">&#39;Baseline&#39;</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="p">[</span><span class="n">baseline_mae</span><span class="p">,</span> <span class="n">baseline_rmse</span><span class="p">]</span>
    
    <span class="k">return</span> <span class="n">results</span>
<span class="n">results</span> <span class="o">=</span> <span class="n">evaluate</span><span class="p">(</span><span class="n">X_train</span><span class="p">,</span> <span class="n">X_test</span><span class="p">,</span> <span class="n">y_train</span><span class="p">,</span> <span class="n">y_test</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">results</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedText jp-OutputArea-output" data-mime-type="text/plain"><pre>                            mae      rmse
Linear Regression      3.553727  4.705179
ElasticNet Regression   3.48858  4.636734
Random Forest          3.047722  4.132822
Extra Trees            3.534177  4.587325
SVM                    3.409255  4.629435
Gradient Boosted       3.161693  4.254214
Baseline               3.607595  4.902854
</pre></div></div></div></div></div><div id="cell-id=10032aa3-6d59-4a4b-8d98-83bc006fe183" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>通过上方代码计算出了各种模型的误差,接下来可视化误差的大小，挑选最合适的模型</p></div></div></div></div><div id="cell-id=71df804a-00eb-4dac-997a-e580f3da61d6" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[21]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="c1"># 找出最合适的模型</span>
<span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">12</span><span class="p">,</span> <span class="mi">8</span><span class="p">))</span>

<span class="c1"># 平均绝对误差</span>
<span class="n">ax</span> <span class="o">=</span>  <span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
<span class="n">results</span><span class="o">.</span><span class="n">sort_values</span><span class="p">(</span><span class="s1">&#39;mae&#39;</span><span class="p">,</span> <span class="n">ascending</span> <span class="o">=</span> <span class="kc">True</span><span class="p">)</span><span class="o">.</span><span class="n">plot</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">y</span> <span class="o">=</span> <span class="s1">&#39;mae&#39;</span><span class="p">,</span> <span class="n">color</span> <span class="o">=</span> <span class="s1">&#39;b&#39;</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">ax</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;error&#39;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span> 
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;MAE&#39;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>

<span class="c1"># 均方根误差</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="n">results</span><span class="o">.</span><span class="n">sort_values</span><span class="p">(</span><span class="s1">&#39;rmse&#39;</span><span class="p">,</span> <span class="n">ascending</span> <span class="o">=</span> <span class="kc">True</span><span class="p">)</span><span class="o">.</span><span class="n">plot</span><span class="o">.</span><span class="n">bar</span><span class="p">(</span><span class="n">y</span> <span class="o">=</span> <span class="s1">&#39;rmse&#39;</span><span class="p">,</span> <span class="n">color</span> <span class="o">=</span> <span class="s1">&#39;r&#39;</span><span class="p">,</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">ax</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">&#39;error&#39;</span><span class="p">,</span> <span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span> 
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">&#39;RMSE&#39;</span><span class="p">,</span><span class="n">fontsize</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">tight_layout</span><span class="p">()</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child"><div class="jp-OutputPrompt jp-OutputArea-prompt"></div><div class="jp-RenderedImage jp-OutputArea-output"><img src=""></div></div></div></div></div><div id="cell-id=8d90b772-7b3b-4ffa-9c94-c5a7ea8a3fae" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>最后我们发现，当训练集:测试集 = 80%:20%时,random forest(随机森林)算法误差最小，故保存该算法为最终的模型,保存到文件中方便我们以后调用</p></div></div></div></div><div id="cell-id=6ab82fa5-990a-49b8-b2d8-3efff2b0a39c" class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[22]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">model</span> <span class="o">=</span> <span class="n">RandomForestRegressor</span><span class="p">()</span>
<span class="n">model</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">X_train</span><span class="p">,</span> <span class="n">y_train</span><span class="p">)</span>
<span class="n">filename</span> <span class="o">=</span> <span class="s2">&quot;final_model&quot;</span>
<span class="n">pickle</span><span class="o">.</span><span class="n">dump</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="nb">open</span><span class="p">(</span><span class="n">filename</span><span class="p">,</span> <span class="s1">&#39;wb&#39;</span><span class="p">))</span> 
</pre></div></div></div></div></div></div><div id="cell-id=bed333e8-9a8e-4b21-9830-cd2e78d88b07" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><h3 id="%E8%B0%83%E7%94%A8%E6%A8%A1%E5%9E%8B">&#35843;&#29992;&#27169;&#22411;<a class="anchor-link" href="#%E8%B0%83%E7%94%A8%E6%A8%A1%E5%9E%8B">&#182;</a></h3></div></div></div></div><div id="cell-id=f168e796-6ffb-4a49-ba83-5f0070cfedf4" class="jp-Cell jp-CodeCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">In&nbsp;[23]:</div><div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline"><div class="CodeMirror cm-s-jupyter"><div class="highlight hl-ipython3"><pre><span></span><span class="n">pickle_in</span> <span class="o">=</span> <span class="nb">open</span><span class="p">(</span><span class="s2">&quot;final_model&quot;</span><span class="p">,</span> <span class="s2">&quot;rb&quot;</span><span class="p">)</span>
<span class="n">clf</span> <span class="o">=</span> <span class="n">pickle</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">pickle_in</span><span class="p">)</span>
<span class="n">y_hat</span> <span class="o">=</span> <span class="n">clf</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">X_test</span><span class="p">)</span>
<span class="n">evaluate_predictions</span><span class="p">(</span><span class="n">y_hat</span><span class="p">,</span> <span class="n">y_test</span><span class="p">)</span>
</pre></div></div></div></div></div><div class="jp-Cell-outputWrapper"><div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser"></div><div class="jp-OutputArea jp-Cell-outputArea"><div class="jp-OutputArea-child jp-OutputArea-executeResult"><div class="jp-OutputPrompt jp-OutputArea-prompt">Out[23]:</div><div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain"><pre>(3.020632911392405, 4.163870065702175)</pre></div></div></div></div></div><div id="cell-id=6e3ea8e6-0c15-4648-a98a-65af337b6f13" class="jp-Cell jp-MarkdownCell jp-Notebook-cell"><div class="jp-Cell-inputWrapper"><div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser"></div><div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt"></div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown"><p>结果和上方相同，证明模型调用成功</p></div></div></div></div></body></html>
